# Topological invariants of isolated complete intersection curve singularities

V. H. Jorge Pérez; M. E. Hernandes

Czechoslovak Mathematical Journal (2009)

- Volume: 59, Issue: 4, page 975-987
- ISSN: 0011-4642

## Access Full Article

top## Abstract

top## How to cite

topPérez, V. H. Jorge, and Hernandes, M. E.. "Topological invariants of isolated complete intersection curve singularities." Czechoslovak Mathematical Journal 59.4 (2009): 975-987. <http://eudml.org/doc/37970>.

@article{Pérez2009,

abstract = {In this paper we present some formulae for topological invariants of projective complete intersection curves with isolated singularities in terms of the Milnor number, the Euler characteristic and the topological genus. We also present some conditions, involving the Milnor number and the degree of the curve, for the irreducibility of complete intersection curves.},

author = {Pérez, V. H. Jorge, Hernandes, M. E.},

journal = {Czechoslovak Mathematical Journal},

keywords = {topological invariants; genus; Euler characteristic; irreducibility criterion; topological invariant; genus; Euler characteristic; irreducibility criterion},

language = {eng},

number = {4},

pages = {975-987},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Topological invariants of isolated complete intersection curve singularities},

url = {http://eudml.org/doc/37970},

volume = {59},

year = {2009},

}

TY - JOUR

AU - Pérez, V. H. Jorge

AU - Hernandes, M. E.

TI - Topological invariants of isolated complete intersection curve singularities

JO - Czechoslovak Mathematical Journal

PY - 2009

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 59

IS - 4

SP - 975

EP - 987

AB - In this paper we present some formulae for topological invariants of projective complete intersection curves with isolated singularities in terms of the Milnor number, the Euler characteristic and the topological genus. We also present some conditions, involving the Milnor number and the degree of the curve, for the irreducibility of complete intersection curves.

LA - eng

KW - topological invariants; genus; Euler characteristic; irreducibility criterion; topological invariant; genus; Euler characteristic; irreducibility criterion

UR - http://eudml.org/doc/37970

ER -

## References

top- Arslan, F., Sertöz, S., 10.1080/00927879808826291, Commun. Algebra 26 (1998), 2463-2471. (1998) MR1627868DOI10.1080/00927879808826291
- Buchweitz, R.-O., Greuel, G.-M., 10.1007/BF01390254, Invent. Math. 58 (1980), 241-281. (1980) MR0571575DOI10.1007/BF01390254
- Dimca, A., Singularities and Topology of Hypersurfaces. Universitext, Springer New York (1992). (1992) MR1194180
- Greuel, G. M., 10.1007/BF01352108, Math. Ann. 214 (1975), 235-266 German. (1975) Zbl0285.14002MR0396554DOI10.1007/BF01352108
- Harris, J., 10.1007/BF01388741, Invent. Math. 84 (1986), 445-461. (1986) MR0837522DOI10.1007/BF01388741
- Hartshorne, R., Algebraic Geometry. Graduate Texts in Mathematics 52, Springer New York-Heidelberg-Berlin (1977). (1977) MR0463157
- Hironaka, H., On the arithmetic genera and the effective genera of algebraic curves, Mem. Coll. Sci., Univ. Kyoto, Ser. A 30 (1957), 177-195. (1957) Zbl0099.15702MR0090850
- Kleiman, S. L., 10.1090/conm/162/01536, Contemp. Math. 162 (1994), 249-260. (1994) Zbl0820.14039MR1272702DOI10.1090/conm/162/01536
- Kline, M., Mathematical Thought from Ancient to Modern Times, Clarendon Press, Oxford Univ. Press New York (1990). (1990) Zbl0864.01001MR0472307
- Looijenga, E. J. N., Isolated Singular Points on Complete Intersections. London Mathematical Society Lecture Note, Ser. 77, Cambridge University Press Cambridge (1984). (1984) MR0747303
- Mumford, D., Algebraic Geometry. I: Complex Projective Varieties, Springer Berlin (1995). (1995) Zbl0821.14001MR1344216
- Severi, F., Il Teorema di Riemann-Roch per curve, superficie e varietá. Ergebnisse der Math. Questioni Collegate, Springer Berlin-Göttingen-Heidelberg (1958), Italian. (1958) MR0094357

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.